The Spaniard, who moved to the Emirates from Everton in 2011, turned 32 years old on Wednesday.
Arsenal wrote on their official Facebook page: "Happy 32nd birthday to Mikel! Leave your message for the vice-captain below."
While some fans gave the midfielder birthday wishes, others expressed their dislike for the player, with one user writing: "I wish he will soon leave Arsenal.... OUT FROM THIS CLUB."
Another posted the comment: "Gives us all a present and hand in the armband not good enough to play for arsenal."
Reports have emerged this morning claiming that Arsenal have no plans to offer Arteta a contract extension.